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Finding the Fourth Proportional to 27,569.40, 41,361.96 and 13,533.65

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Solution

The fourth proportional to 27,569.40, 41,361.96 and 13,533.65 is: 20,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569.40 : 41,361.96 = 13,533.65 : x
  2. Step 2: Convert to fraction form
    27,569.40/41,361.96 = 13,533.65/x
  3. Step 3: Cross multiply
    27,569.40x = 41,361.96 × 13,533.65
  4. Step 4: Simplify right side
    27,569.40x = 559,778,083.14
  5. Step 5: Solve for x
    x = 559,778,083.14/27,569.40
  6. Step 6: Final answer
    x = 20,304.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.